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Finding the Fourth Proportional to 607.75, 906.20 and 596.81

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Solution

The fourth proportional to 607.75, 906.20 and 596.81 is: 889.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.75 : 906.20 = 596.81 : x
  2. Step 2: Convert to fraction form
    607.75/906.20 = 596.81/x
  3. Step 3: Cross multiply
    607.75x = 906.20 × 596.81
  4. Step 4: Simplify right side
    607.75x = 540,830.74
  5. Step 5: Solve for x
    x = 540,830.74/607.75
  6. Step 6: Final answer
    x = 889.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.